GCF of 1573/790, 8258/5105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1573/790, 8258/5105 i.e 1/806590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1573/790, 8258/5105.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1573/790,8258/5105?
Given fractions are 1573/790,8258/5105
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1573/790,8258/5105, numerators are 1573,8258
Denominators are 790,5105
The GCF of 1573,8258 is 1 .
LCM of 790,5105 is 806590.
The greatest common factor of 1573/790,8258/5105 = [GCF of 1573,8258]/[LCM of 790,5105]= 1/806590
Therefore, the GCF of 1573/790,8258/5105 is 1/806590.
To find the highest common factor of 1573,8258, we have to find the factors of both numbers and list the highest common factor.
The factors of 1573 are 1, 11, 13, 121, 143, 1573
The factors of 8258 are 1, 2, 4129, 8258
The HCF of 1573,8258 is 1.
Lets's calculate GCF of 1573,8258
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1573,8258 By Matching Biggest Common Factor Method
Now, list down the factors of 1573
:1,11,13,121,143,1573
Now, list down the factors of 8258
:1,2,4129,8258
Greatest Common Factor
We found the factors 1573,8258 . The biggest common factor number is the GCF number.
So the greatest common factor 1573,8258 is 1.
Lets's calculate LCM of 790,5105
| 5 | 790, 5105 |
| 158, 1021 |
∴ So the LCM of the given numbers is 5 x 158 x 1021 = 806590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/806590
Therefore, the GCF of Fractions 1573/790,8258/5105 is 1/806590
Least Common Multiple of 790,5105 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 790,5105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,5105) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(790,5105) x common factors =5 x 1 = 5
LCM(790,5105) = ( 790 × 5105 ) / 5
LCM(790,5105) = 4032950 / 5
LCM(790,5105) = 806590
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FAQs on GCF of Fractions of 1573/790, 8258/5105
1. What is the HCF of 1573,8258?
The HCF of 1573,8258 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1573/790, 8258/5105?
Answer: GCF of Numerators as per given numbers 1573/790, 8258/5105 is
GCF of Numerators i.e. for 1573,8258 is 1
LCM of denominators i.e. for 790,5105 is 806590.
Thus, GCF of Fractions is 1/806590.Finally, GCF of Fractions for 1573/790, 8258/5105 is 1/806590.